Adjective
sesquilinear (not comparable)
(mathematics) (of a map of a complex vector space) Linear in one coordinate and conjugate linear in the other
Conjugate symmetry is also called Hermitian symmetry, and a conjugate symmetric sesquilinear form is called a Hermitian form. Source: Internet
In some cases we need to consider non-negative semi-definite sesquilinear forms. Source: Internet